2022 HCI J2 MYE P2 Q9

A class committee consisting of \(9\) students is to be chosen from a class of \(15\) girls and \(10\) boys. Find the number of ways in which the committee can be chosen if Boy \(B\) or Girl \(G\) is selected but not both.[2]

It was decided that Boy \(B\) and Girl \(G\) will be in the committee with \(4\) particular girls and \(3\) particular boys. During a meeting, the committee and their Civics Tutor sat at a round table with \(~5\) identical wooden chairs and \(~5\) identical metal chairs arranged alternatingly. Find the number of possible arrangements if all \(4\) boys were seated separately from one another and Boy \(B\) and Girl \(G\) cannot be seated next to each other[3]